Please answer this ASAP !!
Thank you (picture attached).

The radius of circle F is equal to: C. 12.

In Mathematics and Geometry, Pythagorean's theorem is modeled or represented by the following mathematical equation (formula):

a² + b² = c²

Where:

a, b, and c represents the length of sides or side lengths of any right-angled triangle.

By substituting the given side lengths into the formula for Pythagorean's theorem, we have the following;

a² + b² = c²

a² + 9² = 15²

a² = 225 - 81

a = √144

a = 12 units.

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Let's begin by listing out the information given to us:

slope-intercept form of the equation of the line is given by:

Consequently, the room has a 7 meter width. The room's length is

\(= 7 * 3 meters = 21 meters\)

A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides. A quadrilateral of the shape of a rectangle has four 90-degree vertices and equal parallel sides. As a result, it is sometimes referred to as an equirectangular rectangle. Because its opposite sides are equal and parallel, a rectangle is also known as a parallelogram.

Given that the length of the rectangular space is three times its breadth

The chamber has a 56-meter perimeter.

Assume that the room's width is x.

As a result, the room is three times as long.

The room's perimeter is now equal to 2(3x + x).

\(Here, 2(3x + x) = 56\\ 2 * 4x = 56\\ 8x = 56\\ x = 7.\)

Consequently, the room has a 7 meter width.

The room's length is

\(= 7 * 3 meters\\= 21 meters\)

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Answer:

< B = 94

Step-by-step explanation:

Remark

You should edit the question. The way you wrote it, , it looks like you have to square two binomials. That isn't the way it is given I don't think. You are told that A and B are supplementary. That means

A+B = 180

Equation

(8x + 6) + (7x + 24) = 180          Remove the brackets

Solution

8x + 6 + 7x + 24 = 180              Collect like terms

15x + 30 = 180                           Subtract 30 from both sides

15x = 180 - 30

15x = 150                                   Divide by 15

x = 150 / 15

x = 10

Answer

What you need is <B

<B = 7x + 24

<B = 7*10 + 24

<B = 70 + 24

<B = 94

Answer:

1800 Degrees

Step-by-step explanation:

360 equals a full rotation I Think.

The wheel made, 1800° in 5 rotation.

The meaning of rotation is the action or process of rotating on or as if on an axis or center.

Given that, A Ferris wheel makes five full rotations and then stops

Since, we know that there are 360° in one rotation,

A wheel makes 360° if it rotates for one time.

Therefore, in 5 rotation, = 5 × 360° = 1800°

Hence, the wheel made, 1800° in 5 rotation.

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If \(y=x^m\) is a solution to the ODE

\(x^2 y'' - 7xy' + 15y = 0\)

then substituting \(y\) and its derivatives

\(y' = mx^{m-1} \text{ and } y'' = m(m-1)x^{m-2}\)

gives

\(m(m-1)x^2x^{m-2} - 7mxx^{m-1} + 15x^m = 0\)

\(m(m-1)x^{m} - 7mx^{m} + 15x^m = 0\)

\((m(m-1) - 7m + 15)x^{m} = 0\)

We ignore the trivial case of \(y=x^m=0\). Solve for \(m\).

\(m(m-1) - 7m + 15 = 0\)

\(m^2 - 8m + 15 = 0\)

\((m - 3) (m - 5) = 0\)

\(\implies \boxed{m=3} \text{ or } \boxed{m=5}\)

Hello there & welcome to Brainly!

You are solving for the variable, k. Isolate the variable, k. Note the equal sign, what you do to one side, you do to the other.

First, distribute -12 to all terms within the parenthesis:

-12(k + 4) =

-12 * k = -12k

-12 * 4 = -48

-12k - 48 = 60

Isolate the variable, k. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and equal:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, add 48 to both sides of the equation:

-12k - 48 (+48) = 60 (+48)

-12k = 60 + 48

-12k = 108

Next, divide -12 from both sides of the equation:

(-12k)/-12 = (108)/-12

k = 108/-12

k = -9

k = -9 is your answer.

~

Answer:

2/3 and -4

Step-by-step explanation:

using the quadratic formula,

-b +_root(b squared - 4(3)(-8) the whole divided by 2a

Step-by-step explanation:

hope this will help you.

Answer:

The answer is 62 minutes

Answer:

110000

Step-by-step explanation:

first, expand 10^5, which is 100000

use a calculator (or long multiplication) to multiply 1.1*100000, which is 110000

A test's large p-value does not necessarily mean that the null hypothesis should be accepted.

In a test, a low P-value will favor rejecting the null hypothesis.

The P-value approach evaluates whether something is "likely" or "unlikely," assuming that the null hypothesis is correct, by calculating the probability of observing a test statistic that is more extreme in the direction of the alternative hypothesis than the one actually seen. If the P-value is low, such as less than, it is "unlikely" (or equal to) α.

The null hypothesis is disregarded in favor of the alternative hypothesis if the P-value is less than (or equal to) α. Additionally, the null hypothesis is not disproved if the P-value is higher than α.

As a result, the right response is false.

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Answer:

7⁵-3=7⁵x- 19

Step-by-step explanation:

16807 - 3 = 7⁵x - 19

16804 = 7⁵x - 19

16804 = 16807x - 1

adding 19 on both sides

16804 + 19 = 16807x - 19 + 19

16823 = 16807x

x = 16823 / 16807

16823 upon 16807 is the x

Answer:

The distributive property

Step-by-step explanation:

Nora essentially distributing the parts of the problem.

Please tell me if I'm wrong and I'll fix my answer.

Answer:

its the distributive property

Step-by-step explanation:

i took the

test

To answer this question we first draw the triangle to help us:

As a note on the problem: This is not necessarily the triangle we have, we drew just to helps us solve it.

Now, to find the angle J we can use the law of cosines:

Plugging the values we have and solving for J we have:

Therefore the angle J is 60°.

Answer:I think degree 4 but im not sure

Step-by-step explanation:

The percentage of the area of the northern hemisphere that is the land is 40%.

The ratio of the area of land to the area of water in the southern hemisphere will be 3:2.

It should be noted that in northern hemisphere, the ratio of the area of land to the area of land to the area of water is 2:3, the percentage of the area of the northern hemisphere is the land will be:

= 2 / (2+3) × 100

= 2/5 × 100

= 40%

It should be noted that the ratio of the area of land to the area of water in the southern hemisphere will be 3:2. This is the inverse of 2:3.

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Answer:

i think it would be SAS, sorry if I'm wrong!

Step-by-step explanation:

9514 1404 393

Answer:

  SAS

Step-by-step explanation:

The hash marks on the segments of the triangle indicate congruence. The "one hash mark" segments are congruent to each other, and the "two hash marks" segments are congruent to each other. That is, two corresponding sides are marked congruent.

Similarly, the arc on the angle indicates the angle is congruent to one with a similar mark. We notice that the marked angle is between the sides that have hash marks. So, we have, in order around the triangle, congruent Sides, Angles, Sides. The appropriate choice is ...

  SAS

Answer:

x = 10, -18

Step-by-step explanation:

Hope it helps :)

\(\sf{\dfrac{a^x}{log(a)} }\)

\(\sf{\dfrac{a^x}{ln(a)} }\)

\(\sf{Let\ y=\dfrac{a^x}{ln(a)} }\)

\(\sf{=\dfrac{d}{dx}\bigg[\dfrac{a^x}{ln(a)} \bigg] }\)

\(\sf{=\dfrac{1}{ln(a)}.\dfrac{d}{dx}(a^x) }\)

\(\sf{=\dfrac{ln(a)a^x}{ln(a)} }\)

\(\boxed{\sf{=a^x}}\)

→ \(\sf{[a.b(x)+c.d(x)]'=a.b'(x)+c.d'(x)}\)

→ \(\sf{(a^x)'=ln(a).a^x}\)

Answer:

a^x.

Step-by-step explanation:

y = a^x / log a

Assuming the log is to the base e:

y = (1/ log a) * a^x

Derivative of a^x:

Let u = a^x

log u = log a^x

log u = x log a

1/u * du/dx = log a

du/dx =  = u * log a

y = (1 / log a) * u

so  dy/du = 1/log a

and dy/dx = dy/du * du/dx

=  (1/log a )* log a u

= u

= a^x.

The prioritized critical decision areas for P&B Inc. to achieve competitive advantage are goods and service design, human resources and job design, inventory management, and scheduling, aligned with a response strategy.

To achieve a competitive advantage in a market characterized by quick delivery, reliability of scheduling, and frequent design innovation and customer demand changes, P&B Inc. needs to prioritize critical decision areas.

Goods and service design should focus on creating innovative and differentiated products/services that meet customer needs. Human resources and job design should ensure a skilled and motivated workforce capable of delivering high-quality outputs.

Inventory management is crucial to balance stock levels, minimize costs, and meet customer demands promptly. Scheduling should prioritize efficient resource allocation and sequencing of tasks to optimize production and meet customer deadlines.

By effectively managing these decision areas, P&B Inc. can align its operations with a response strategy, delivering quick and reliable outcomes while adapting to market dynamics.

This strategic approach allows the company to differentiate itself, attract customers, and maintain a competitive edge in the industry.

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Answer:

\(f'(x) = 4x^2 - 3\) for \(x \le -3\)

Step-by-step explanation:

See attachment for proper question

Given

\(f(x) = -\frac{1}{2}\sqrt{x + 3}\)

For

\(x \ge -3\)

Required

Determine the inverse function

\(f(x) = -\frac{1}{2}\sqrt{x + 3}\)

Replace f(x) with y

\(y = -\frac{1}{2}\sqrt{x + 3}\)

Swap the positions of x and y

\(x = -\frac{1}{2}\sqrt{y + 3}\)

Multiply both sides by -2

\(-2 * x =-2 * -\frac{1}{2}\sqrt{y + 3}\)

\(-2x =\sqrt{y + 3}\)

Square both sides

\((-2x)^2 =(\sqrt{y + 3})^2\)

\(4x^2 =y + 3\)

Make y the subject

\(y = 4x^2 - 3\)

The inverse has been solved. So, we need to replace y with f'(x)

\(f'(x) = 4x^2 - 3\)

Next, is to determine the interval

\(x \ge -3\)

Change inequality to \(\le\)

\(x \le -3\)

Hence, the inverse function is:

\(f'(x) = 4x^2 - 3\) for \(x \le -3\)

Step-by-step explanation:

the given data is

tanθ = 2.773 and 0<θ<π/2

this implies θ = tan inverse(2.773)

⇒ θ =  70.16°

Therefore, sinθ = sin70.16° = 0.9406

similarly,cosθ =  cos70.16° = 0.3393

therefore, values of sinθ and cosθ are  0.9406 and 0.3393 respectively.

It gradually decreases as alcohol is metabolized. The function C(t)=0.135 t e^{-2.802 t}models the mean BAC measured in g/mL.

The maximum average BAC during 3 hours is 0.0001358 g/mL.

f(t) = α t e−βt --(1)

Let's rewrite this in a simple form:

f(t)= α eˡⁿ ᵗ e⁻βt = αe^(ln t −βt)

Since e^x is strictly increasing and it will be maximized exactly when its argument is maximized, so we can maximize instead:

g(t)=ln t −βt

differentiating with respect to t , and g'(t) = 0

g′(t)=1/t − β = 0

=> t =1/β

we have given a function

C(t)=0.135 t e⁻²·⁸⁰²ᵗ

if we compare it with (1) we get

β = 2.802, 0.135 = α

For it's maximized we need to check the second order condition, and that of g will differentiate again , g′′(t)= −1/t² < 0

We have to compute the derivative of C(t):

C′(t) = 0.135 t⋅(−2.802)e⁻²·⁸⁰²ᵗ + 1.35e⁻²·⁸⁰²ᵗ

For optimum at t₀ if C′(t₀)=0 and C′′(t₀)≠0. Here, we have

C′(t₀) = 0.135t₀⋅(−2.802)e⁻²·⁸⁰²ᵗ₀+ 0.135e⁻²·⁸⁰²ᵗ₀ =e⁻²·⁸⁰²ᵗ₀(−0.135* 2.802t₀+ 0.135)=0

It is clear that e⁻²·⁸⁰²ᵗ₀ not equal to zero for all t₀∈R, so that

=> −0.135* 2.802t₀+0.135=0

=> t₀ = 1/2.802 ≈0.36

let us consider t is in hours, so that it makes t₀ =0.36h≈21.41min. This is the only optimum and one should verify it is indeed a maximum, i.e. C′′(t₀)<0.

Now, easily compute the maximum average BAC, which is C(t₀)=C(0.36) = 0.135 (0.36)e⁻²·⁸⁰²⁽⁰·³⁶⁾

= 0.0486(0.3678) = 0.01787508

Hence, the maximum average BAC, is 0.017 g/dL.

Maximum average BAC during the first 3 hours,

t = 3 , C(t)=C(3) = 0.135 (3)e⁻²·⁸⁰²⁽³⁾ = 0.0001358 g/mL

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The 98% confidence interval for the number of chocolate chips per cookie in Big Chip cookies is approximately 13.5529 to 15.0471 chips.

To find the 98% confidence interval for the number of chocolate chips per cookie in Big Chip cookies, we'll use the t-distribution since the sample size is relatively small (n = 61) and we don't know the population standard deviation.

The formula for the confidence interval is:

\(CI = \bar X \pm t_{critical} \times \dfrac{s } {\sqrt{n}}\)

where:

X is the sample mean,

\(t_{critical\) is the critical value for the t-distribution corresponding to the desired confidence level (98% in this case),

s is the sample standard deviation,

n is the sample size.

First, let's find the critical value for the t-distribution at a 98% confidence level with (n-1) degrees of freedom (df = 61 - 1 = 60). You can use a t-table or a calculator to find this value. For a two-tailed 98% confidence level, the critical value is approximately 2.660.

Given data:

X (sample mean) = 14.3

s (sample standard deviation) = 2.2

n (sample size) = 61

\(t_{critical\) = 2.660 (from the t-distribution table)

Now, calculate the confidence interval:

\(CI = 14.3 \pm 2.660 \times \dfrac{2.2} { \sqrt{61}}\\CI = 14.3 \pm 2.660 \times \dfrac{2.2} { 7.8102}\\CI = 14.3 \pm 0.7471\)

Lower bound = 14.3 - 0.7471 ≈ 13.5529

Upper bound = 14.3 + 0.7471 ≈ 15.0471

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The p-value for the given test is approximately 0.067, rounded to two significant digits. This was calculated by finding the area to the right of z=1.5 under the standard normal distribution.

It is given that Null hypothesis: H0: μ ≤ 0, Alternative hypothesis: H1: μ > 0, Population standard deviation: σ = 1, Test statistic: z = 1.5

To find the p-value, we need to calculate the probability of observing a z-value of 1.5 or greater under the null hypothesis. Since the population follows the standard normal distribution, we can use a standard normal table or a calculator to find this probability.

Using calculator, we can find that the area to the right of z = 1.5 is approximately 0.0668 (rounded to four decimal places).

Since this is a one-tailed test with the alternative hypothesis in the right tail, the p-value is equal to the area in the right tail beyond the observed z-value. Therefore, the p-value for the test is approximately 0.067 (rounded to two significant digits).

So, the p-value for the given test is 0.067 (rounded to two significant digits).

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The p-value for testing H0 (null hypothesis) versus Ha (alternative hypothesis) is 0.0038. We need to determine whether H0 would be rejected at different significance levels: α = 0.10, α = 0.05, α = 0.01, and α = 0.001.

To make the decision, we compare the p-value with the chosen significance level. If the p-value is less than or equal to the significance level, we reject H0. Otherwise, we fail to reject H0.

At α = 0.10: Since the p-value (0.0038) is less than 0.10, we reject H0.

At α = 0.05: Since the p-value (0.0038) is less than 0.05, we reject H0.

At α = 0.01: Since the p-value (0.0038) is greater than 0.01, we fail to reject H0.

At α = 0.001: Since the p-value (0.0038) is greater than 0.001, we fail to reject H0.

In summary:

H0 would be rejected at α = 0.10 and α = 0.05.

H0 would not be rejected at α = 0.01 and α = 0.001.

Please note that the decision to reject or fail to reject the null hypothesis depends on the chosen significance level, and different levels of significance can lead to different conclusions.

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In the "ones" place,

4₅ + 3₅ = (7)₅ = (5 + 2)₅ = 10₅ + 2₅ = 12₅

(a number in base 5 can only consist of the digits 0-4; anything larger, which I wrap in parentheses, needs to be split up further)

In the "tens" place, we carry over the 1 from the previous sum:

2₅ + 4₅ + 1₅ = (7)₅ = 12₅

In the "hundreds" place,

4₅ + 2₅ + 1₅ = (7)₅ = 12₅

In the "thousands" place,

1₅ + 2₅ + 1₅ = 4₅

So, we have

1424₅ + 2243₅ = 4222₅

The parent factors are the colours white or gray

Below is an image to represent the Tree diagram

It shows that for a white shirt Marcus can buy either a white medium and white large sizes

It also shows that for a gray shirt Marcus can also buy a gray medium and a gray large shirt

With this information, we can conclude that the possible answer to the question is the last OPTION D

Answer:

1+B,2+D,3+E,4+C and 5+A

Step-by-step explanation:

(A)161 (B)130 (C)168 (D)150 (E)132

1. 26 x 5=130

This is Option B, therefore we have the match:1+B

2. 25 x 6=150

This is Option D, therefore we have the match:2+D

3. 22 x 6=132

This is Option E, therefore we have the match: 3+E

4. 21 x 8=168

This is Option C, therefore we have the match: 4+C

5. 23 x 7=161

This is Option A, therefore we have the match:5+A